Regarding anti-coordination games, the boundary condition between having a mutant strategy fixating finitely and with null probability asymptotically was obtained in [1]}, which depended only on the payoff values. The original expression was then redefined on [2]} based on \(I\) , the definite integral of \(\ln (\gamma (\alpha ))\)  evaluated between 0 and 1, i.e.
\(I=\ln \left(\dfrac{c^{\frac{c}{c-d}} b^{\frac{b}{a-b}}}{ d^{\frac{d}{c-d}} a^{\frac{a}{a-b}} }\right).\) 
